Question

In: Chemistry

A 200 ml buffer solution is made up of 0.20 M HClO and 0.15 M NaClO....

A 200 ml buffer solution is made up of 0.20 M HClO and 0.15 M NaClO. What is the pH after 1.71 grams of barium hydroxide is added to solution? (assume no volume change with addition)? HINTS: Ka of HClO is 2.9x108 and barium hydroxide has a molar mass of 171.35 g/mole.

Solutions

Expert Solution

First calculate moles of HClO, NaClO & Ba(OH) 2

We know that, Molarity = No.of moles of solute / volume of solution in L

No. of moles of solute = Molarity   volume of solution in L

No. of moles of HClO = 0.20 mol / L 0.200 L = 0.040 mol

No. of moles of NaClO = 0.15 mol / L 0.200 L = 0.030 mol

We have, no. of moles = Mass / Molar mass

no. of moles of Ba(OH) 2 = 1.71 g / 171.35 g/mol = 0.00998 mol

Ba(OH) 2 is a strong base. It dissociates completely into ions when dissolved in water.

Ba(OH) 2 (aq) Ba 2+ (aq) + 2 OH - (aq)

From reaction, 1 mol Ba(OH) 2 2 mol OH -

no. of moles of OH - = 2 (  no. of moles of Ba(OH) 2 )

no. of moles of OH - = 2 ( 0.00998 mol ) = 0.01996 mol

Consider reaction of hydroxide ions with buffer solution.

HClO (aq) + OH - (aq) ClO - (aq) + H2O (l)

Let's use ICE table.

moles HClO OH - ClO -
I 0.040 0.01996 0.030
C -0.01996 -0.01996 +0.01996
E 0.02004 0.00000 0.04996

pH of buffer solution is calculated by using Henderson's equation.

pH = pKa + log [ salt ] / [ Acid ]

pH = - log Ka + log [ ClO -  ] / [ HClO ]

pH = - log ( 2.9 10 -8 ) + log ( 0.04996 mol / 0.200 L ) / ( 0.02004 mol / 0.200 L)

pH =7.54 + log ( 0.04996 mol / 0.200 L ) / ( 0.02004 mol / 0.200 L)

pH = 7.54 + 0.3967

pH = 7.937

ANSWER : pH of buffer solution after addition of 1.71 g barium hydroxide is 7.94


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